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We had previously demonstrated on various stable cell cultures exposed to chemically different nanoparticles when assessing their cytotoxicity by different outcomes, dose-response relationships may be either monotonic or non-monotonic falling within an ...
Tatiana V. Bushueva+7 more
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The Adaptive Quadratic Linear Unit (AQuLU): Adaptive Non Monotonic Piecewise Activation Function
The activation function plays a key role in influencing the performance and training dynamics of neural networks. There are hundreds of activation functions widely used as rectified linear units (ReLUs), but most of them are applied to complex and large ...
Zhandong Wu+3 more
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Some integral inequalities for operator monotonic functions on Hilbert spaces
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
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In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1 ...
Mao, Zhong-Xuan, Tian, Jing-Feng
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Robust chaos generation by a perceptron
The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined.
Kanter, I., Priel, A.
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Electron transport and energy relaxation in dilute magnetic alloys [PDF]
We consider the effect of the RKKY interaction between magnetic impurities on the electron relaxation rates in a normal metal. The interplay between the RKKY interaction and the Kondo effect may result in a non-monotonic temperature dependence of the ...
A. I. Larkin+30 more
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The capacity of monotonic functions
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Some completely monotonic functions involving the polygamma functions
Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.
Peng Gao
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The monotonicity of the permanent function
The author shows that for each positive integer \(n\) there exists \(\alpha_ n\in(0,1)\) such that \(\text{per}[(1-\theta)J_ n+\theta S]\leq\text{per} S\) for all \(0\leq\theta\leq\alpha_ n\) and all \(n\times n\) doubly stochastic matrices \(S\).
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On the noise sensitivity of monotone functions [PDF]
AbstractIt is known that for all monotone functions f : {0, 1}n → {0, 1}, if x ∈ {0, 1}n is chosen uniformly at random and y is obtained from x by flipping each of the bits of x independently with probability ϵ = n−α, then P[f(x) ≠ f(y)] < cn−α+1/2, for some c > 0.Previously, the best construction of monotone functions satisfying P[fn(x) ≠ fn(y)]
Mossel, Elchanan, O'Donnell, Ryan
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